Question

The number of polynomials having zeroes as 4 and 7 is

1 point

a) 2

b) 3

c) 4

d) more than 4
what is answer

​

Answer 1

Answer:

Infinite

the number of polynomials having zeros as 4 and 7 is Infinite.

Answer 2

d) more than 4

The number of polynomials having zeroes as 4 and 7 is more than 4.

Step-by-step explanation:

The polynomial with zeroes 4 and 7 can be written as

f(x) = (x - 4) (x - 7) = x² - 4x - 7x + 28 = x² - 11x + 28

Now this polynomial f(x) have same zeroes as 2 f(x), 3 f(x), 4 f(x), 5 f(x), ... ... , i.e., n f(x) has same zeroes as f(x), where n is any real number.

Conclusion:

There are infinite number of polynomials with zeroes 4 and 7.

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